The amount of apple syrup to the amount of water in Cup A is in the ratio 3 : 7. The amount of apple syrup to the amount of water in Cup B is in the ratio 1 : 4. There is an equal amount of apple syrup in both cups. Cup A contains 55 mℓ less water than Cup B. What is the amount of apple syrup in Cup A? Leave the answer in mℓ.
| Cup A |
Cup B |
| Syrup |
Water |
Syrup |
Water |
| 3x1 |
7x1 |
1x3 |
4x3 |
| 1x3 |
|
1x3 |
|
| 3 u |
7 u |
3 u |
12 u |
The amount of syrup in Cup A and Cup B is the same. Make the amount of syrup the same. LCM of 3 and 1 is 3.
Amount of less water in Cup A than Cup B
= 12 u - 7 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Amount of water in Cup B
= 12 u
= 12 x 11
= 132 mℓ
Answer(s): 132 mℓ
